Superselection-Resolved Entanglement in Lattice Gauge Theories: A Tensor Network Approach
arXiv:2401.01942
Abstract
Lattice gauge theories (LGT) play a central role in modern physics, providing insights into high-energy physics, condensed matter physics, and quantum computation. Due to the nontrivial structure of the Hilbert space of LGT systems, entanglement in such systems is tricky to define. However, when one limits themselves to superselection-resolved entanglement, that is, entanglement corresponding to specific gauge symmetry sectors (commonly denoted as superselection sectors), this problem disappears, and the entanglement becomes well-defined. The study of superselection-resolved entanglement is interesting in LGT for an additional reason: when the gauge symmetry is strictly obeyed, superselection-resolved entanglement becomes the only distillable contribution to the entanglement. In our work, we study the behavior of superselection-resolved entanglement in LGT systems. We employ a tensor network construction for gauge-invariant systems as defined by Zohar and Burrello (2016) and find that, in a vast range of cases, the leading term in superselection-resolved entanglement depends on the number of corners in the partition, that is, corner-law entanglement. To our knowledge, this is the first case of such a corner-law being observed in any lattice system.
12 pages, 6 figures, comments are welcome
References in corpus (34)
- Surface codes: Towards practical large-scale quantum computation
- Probing many-body dynamics on a 51-atom quantum simulator
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
- Criticality, the area law, and the computational power of PEPS
- Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
- The iTEBD algorithm beyond unitary evolution
- Measuring entanglement growth in quench dynamics of bosons in an optical lattice
- Quantum Simulation for High Energy Physics
- Breakdown of a topological phase: Quantum phase transition in a loop gas model with tension
- A Formulation of Lattice Gauge Theories for Quantum Simulations
- Gauging quantum states: from global to local symmetries in many-body systems
- Quantum Simulating Nature's Fundamental Fields
- Towards Quantum Simulating QCD
- A quantum topological phase transition at the microscopic level
- Entanglement renormalization and gauge symmetry
- Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas
- Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
- Decoding algorithms for surface codes
- Dynamics of charge fluctuations from asymmetric initial states
- Symmetry-resolved entanglement in critical non-Hermitian systems
- Tensor network study of the magnetization plateau in the Shastry-Sutherland model at finite temperature
- Topological transitions from multipartite entanglement with tensor networks: a procedure for sharper and faster characterization
- Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
- Symmetry Resolved Entanglement of Excited States in Quantum Field Theory I: Free Theories, Twist Fields and Qubits
- Notes on Entanglement in Abelian Gauge Theories
- Equipartition of Entanglement in Quantum Hall States
- Entanglement resolution of free Dirac fermions on a torus
- Finding the ground state of a lattice gauge theory with fermionic tensor networks: a demonstration
- The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders
- Two-Point Functions of Composite Twist Fields in the Ising Field Theory
- Symmetry-resolved entanglement in fermionic systems with dissipation
- Entanglement and confinement in lattice gauge theory tensor networks
- On the definition of entanglement entropy in lattice gauge theories